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Finding the Fourth Proportional to 14,970.30, 20,657.60 and 8,682

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Solution

The fourth proportional to 14,970.30, 20,657.60 and 8,682 is: 11,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.30 : 20,657.60 = 8,682 : x
  2. Step 2: Convert to fraction form
    14,970.30/20,657.60 = 8,682/x
  3. Step 3: Cross multiply
    14,970.30x = 20,657.60 × 8,682
  4. Step 4: Simplify right side
    14,970.30x = 179,349,283.20
  5. Step 5: Solve for x
    x = 179,349,283.20/14,970.30
  6. Step 6: Final answer
    x = 11,980.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.